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Finding the Third Proportional to 269,157 and 566,214

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Solution

The third proportional to 269,157 and 566,214 is: 1,191,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,157 : 566,214 = 566,214 : x
  2. Step 2: Convert to fraction form
    269,157/566,214 = 566,214/x
  3. Step 3: Cross multiply
    269,157x = 566,214 × 566,214
  4. Step 4: Simplify right side
    269,157x = 320,598,293,796
  5. Step 5: Solve for x
    x = 320,598,293,796/269,157
  6. Step 6: Final answer
    x = 1,191,120.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.